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Age-structured linear-state differential games

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  • Grosset, Luca
  • Viscolani, Bruno

Abstract

In this paper we search for conditions on age-structured differential games to make their analysis more tractable. We focus on a class of age-structured differential games which show the features of ordinary linear-state differential games, and we prove that their open-loop Nash equilibria are sub-game perfect. By means of a simple age-structured advertising problem, we provide an application of the theoretical results presented in the paper, and we show how to determine an open-loop Nash equilibrium.

Suggested Citation

  • Grosset, Luca & Viscolani, Bruno, 2016. "Age-structured linear-state differential games," European Journal of Operational Research, Elsevier, vol. 254(1), pages 269-278.
    • Handle: RePEc:eee:ejores:v:254:y:2016:i:1:p:269-278
    DOI: 10.1016/j.ejor.2016.03.025
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    Cited by:

    1. Mariusz Górajski & Dominika Machowska, 2019. "How do loyalty programs affect goodwill? An optimal control approach," 4OR, Springer, vol. 17(3), pages 297-316, September.

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